Thermodynamic theory of weakly excited granular systems

被引:42
作者
Hayakawa, H [1 ]
Hong, DC [1 ]
机构
[1] LEHIGH UNIV,DEPT PHYS,LEWIS LAB,BETHLEHEM,PA 18015
关键词
D O I
10.1103/PhysRevLett.78.2764
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present a thermodynamic theory of weakly excited two-dimensional granular systems from the viewpoint of elementary excitations of spinless Fermions. We introduce a global temperature T that is associated with the acceleration amplitude Gamma in a vibrating bed. We show that the configurational statistics of weakly excited granular materials in a vibrating bed obey the Fermi statistics.
引用
收藏
页码:2764 / 2767
页数:4
相关论文
共 42 条
[11]   INSTABILITY IN A SAND HEAP [J].
EVESQUE, P ;
RAJCHENBACH, J .
PHYSICAL REVIEW LETTERS, 1989, 62 (01) :44-46
[12]   MOLECULAR-DYNAMICS SIMULATION OF POWDER FLUIDIZATION IN 2 DIMENSIONS [J].
GALLAS, JAC ;
HERRMANN, HJ ;
SOKOLOWSKI, S .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1992, 189 (3-4) :437-446
[13]   CLUSTERING INSTABILITY IN DISSIPATIVE GASES [J].
GOLDHIRSCH, I ;
ZANETTI, G .
PHYSICAL REVIEW LETTERS, 1993, 70 (11) :1619-1622
[14]  
Hansen J P., 2013, Theory of Simple Liquids: With Applications to Soft Matter
[15]   HYDRODYNAMIC DESCRIPTION OF GRANULAR CONVECTION [J].
HAYAKAWA, H ;
YUE, S ;
HONG, DC .
PHYSICAL REVIEW LETTERS, 1995, 75 (12) :2328-2331
[16]   DYNAMICS OF GRANULAR MATTER [J].
HAYAKAWA, H ;
NISHIMORI, H ;
SASA, S ;
TAGUCHI, Y .
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1995, 34 (2A) :397-408
[17]  
HAYAKAWA H, 1995, IN PRESS INT J BIFUR
[18]   ON THE THERMODYNAMICS OF GRANULAR MEDIA [J].
HERRMANN, HJ .
JOURNAL DE PHYSIQUE II, 1993, 3 (04) :427-433
[19]  
HILL TL, 1987, STATISTICAL MECHANIC, pCH8
[20]   DYNAMICAL SIMULATION OF FLUIDIZED-BEDS - HYDRODYNAMICALLY INTERACTING GRANULAR PARTICLES [J].
ICHIKI, K ;
HAYAKAWA, H .
PHYSICAL REVIEW E, 1995, 52 (01) :658-670